I think birds can feel pretty well, even beyond their feet:
Birds including chickens experience pain and suffering the same as humans and other mammals. Like mammals, chickens and other birds have nociceptors-pain receptors. Behavioral evidence supports neurophysiological evidence of chickens' ability to suffer pain, fear, and other forms of distress. In "Pain in Birds," Michael Gentle writes: "Comparing pain in birds with mammals, it is clear that, with regard to the anatomical, physiological, and behavioural parameters measured, there are no major differences and therefore the ethical considerations normally afforded to mammals should be extended to birds" (Gentle, 1992, 235).
In "Behavioural and Physiological Responses to Pain in the Chicken," Michael Gentle concludes: "The close similarity between birds and mammals in their physiological and behavioural response to painful stimuli argues for a common sensory and emotional experience." Chickens' beaks and skin are full of pain-sensitive nerves. Debeaking and feather-pulling cause pain which has been characterized both behaviorally and physiologically in chickens. To those who ask whether the combs of roosters and hens can feel pain the answer is yes. In comb pinch tests, for example, chickens show "active avoidance behaviour . . . and vigorous escape attempts involving jumping, wing flapping and occasionally calling." 
Gentle, Michael. "Behavioural and Physiological Responses to Pain in the Chicken." Symposium 34: Pain and Stress in Birds. Wellington, New Zealand: New Zealand Ornithological Congress Trust Board, 1991.
Also
Gentle, Michael. "Pain in Birds." Animal Welfare. Universities Federation for Animal Welfare, Vol. 1, 1992
I think the fact that they can take a horrible-looking wound and act as if it doesn't bother them simply has to do with the fact that they are prey animals. As most of us know, almost  EVERYTHING loves the taste of chicken. If they act as if they are hurt (or sick), they might be the first to get attacked. Actually, many birds are like this. They may be quite ill before they exhibit symptoms, but we can't conclude from that that they don't feel pain.